Curriculum placement
Geometry. This describes the skill, not a learner estimate.
What a transformation keeps
Define plane motions and compare distance and angle preservation
Problem types
- Compare what transformations preserve
- Which transformation changes or keeps the area of a rectangle
- Choose the statement that is true after a sequence of rigid motions
- Which statement defines the motion?
- Check a claimed image against the definition
- Complete the definition of a rigid motion
- Which rules keep a figure congruent
Builds on
Leads to
- Constructing the image of a figure
- Matrices as transformations of the plane · See it applied
Matrices that carry out rigid motions keep lengths and angles, the invariants of the motions.
Related skills
- How a dilation changes a figure · Related idea
Dilations keep angles and ratios of lengths but not lengths, a different set of invariants from rigid motions.
- Inverse of a matrix · Related idea
The inverse of a rigid motion is a rigid motion, and its matrix undoes the original matrix, so invariants such as length are preserved by both.
- Congruence criteria for triangles · Shared foundations
- Dilations and similarity · Shared foundations
- Constructions with compass and straightedge · Shared foundations
Open the interactive map to explore lessons and skill connections.